Problem 1
The two angles 6x and 30 are vertical angles, so they are congruent or the same in measure.
6x = 30
x = 30/6
x = 5 is the answer
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Problem 2
The two angles form a straight angle which is 180 degrees. We consider them a linear pair (since they are adjacent and supplementary).
So,
5x+(3x+12) = 180
8x+12 = 180
8x = 180-12
8x = 168
x = 168/8
x = 21 is the answer
Eleven is the sum. Add end is 7 and the ones is 4
This percentage of scores fall within one standard deviation<span> of the mean.</span><span> 68%</span><span> This percentage of scores fall on either side of the distribution:</span><span> 50%</span>
Answer:
$48
Step-by-step explanation:
To start off, we know that Avery put 20% of the $80 in her bank account. We can figure out how much 20% of 80 is by multiplying 80 by 20% and then subtracting that number from 80. Remember to switch 20% to its decimal form (20% -> .2).
Step 1) 80 x .2 = 16
Step 2) 80 - 16 = 64
Next, we have to figure out how much 1/4 of the remaining $64 would be. We just simply divide 64 by 4 to figure out how much Avery spent.
Step 3) 64 / 4 = 16
Lastly, since we know Avery spent 16 dollars, we can subtract the 16 from 64 to get our final answer.
Step 4) 64 - 16 = 48
Not all functions have inverse functions. Those that do are called invertible. For a function f: X → Y to have an inverse, it must have the property that for every y in Y, there is exactly one x in X such that f(x) = y.
